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# How many 2-inch by 3-inch rectangular tiles are required to tile this

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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26 Jan 2016, 02:54
00:00

Difficulty:

95% (hard)

Question Stats:

11% (01:53) correct 89% (01:29) wrong based on 176 sessions

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How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?

A. Less than 10
B. 10—100
C. 101—1,000
D. 1,001—1,500
E. 1,500+

Attachment:

2016-01-24_1704.png [ 1.86 KiB | Viewed 3827 times ]

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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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26 Jan 2016, 03:46
12*6/3*2=12
As it has a tile already .it requires 11 tiles
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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29 Jan 2016, 00:08
1
Hi All,

These types of 'spacial relations' questions are rare on Test Day (chances are that you will NOT see any), but there is often a 'twist' to the question - involving placing the 'tiles' in a specific way. This question doesn't actually have a twist though (the numbers 2 and 3 are BOTH factors of 6 and 12, so you can orient the 'tiles' up-down or left-right and fill the space.

Since the total area is (6)(12) = 72 and the area of each tile is (2)(3) = 6, we know that the number of tiles needed to fill the space is 72/6 = 12 total tiles.

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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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29 Jan 2016, 01:31
This kind of sum I prefer graphical approach to avoid mistake

two orientations possible

Please refer the attachment for figure

in both 6*2 orientation or 3*4 orientation , there will be 12 tiles
Attachments

1.png [ 2.96 KiB | Viewed 3414 times ]

2.gif [ 3.42 KiB | Viewed 3408 times ]

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Posts: 8335
Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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17 Feb 2016, 04:23
Spikey243 wrote:
Why is E marked as the right answer?

Hi,

there is a 6'*12' garden with a 2'*3' patch..
How many 2"*3" tiles can be placed and not 2'*3'
So VERY IMPORTANT TO READ Q PROPERLY

ans $$\frac{{6*12*12*12}}{{2*3}}- \frac{{2*12*3*12}}{{2*3}}=12*12*12-12*12= 11*12*12$$, which is 1000+ and hence E
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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17 Feb 2016, 04:23
Bunuel wrote:
Spikey243 wrote:
Why is E marked as the right answer?

Edited. Thank you.

Bunuel,
E is ok..
people have not read Q properly
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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17 Feb 2016, 04:55
damn that was tricky :D
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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20 Apr 2016, 14:04
total number of tiles is 1584. Convert 12 ft x 6 ft to inches and then find out how many tiles can fit in the shaded region.
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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23 Apr 2016, 22:08
chetan2u wrote:
Bunuel wrote:
Spikey243 wrote:
Why is E marked as the right answer?

Edited. Thank you.

Bunuel,
E is ok..
people have not read Q properly

so what is the answer E or? why is E ok im so confused
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Posts: 8335
Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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24 Apr 2016, 03:07
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly

so what is the answer E or? why is E ok im so confused

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches

so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =$$\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500$$
so ans is 1500+
E
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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24 Apr 2016, 07:52
sabxu1 wrote:
chetan2u wrote:
Bunuel wrote:
quote="Spikey243": Why is E marked as the right answer?

Edited. Thank you.

Bunuel,
E is ok..
people have not read Q properly

so what is the answer E or? why is E ok im so confused

The international symbols for feet and inches are ft and in, respectively. But sometimes in the USA, people use the prime and double prime symbols to represent feet and inches, respectively. The OP did not include a definition of prime and double prime. IMHO, it's quite unlikely people outside the USA may be aware that the single prime is not an inch, but a foot. I seriously doubt the GMAT exam contains a question exactly as specified in the OP.
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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09 Jun 2016, 00:30
chetan2u wrote:
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly

so what is the answer E or? why is E ok im so confused

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches

so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =$$\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500$$
so ans is 1500+
E

Apologies for finding a doubt with figure
nowhere in the figure it is showing that the rectangle is 12 feet * 6 feet
or are we supposed to assume 12' as 12 feet?
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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09 Jun 2016, 00:35
Bunuel wrote:

How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?

A. Less than 10
B. 10—100
C. 101—1,000
D. 1,001—1,500
E. 1,500+

Attachment:
2016-01-24_1704.png

Apologies for finding a doubt with figure
nowhere in the figure it is showing that the rectangle is 12 feet * 6 feet
or are we supposed to assume 12' as 12 feet?
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Joined: 26 Nov 2012
Posts: 554
Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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16 Aug 2016, 23:49
chetan2u wrote:
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly

so what is the answer E or? why is E ok im so confused

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches

so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =$$\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500$$
so ans is 1500+
E

Bunuel,
Can you give us your solution too..
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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15 May 2018, 00:31
" stands for Inches
' stands for feet .

And this question is god to know how much you are attentive about units.
(12*12*6*12)/(3*2) > 1500
Intern
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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17 May 2018, 00:12
This is tricky!!!
" = Inch, ' = ft !
1 ft = 12 inch
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this  [#permalink]

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01 Nov 2019, 05:31
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this   [#permalink] 01 Nov 2019, 05:31
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